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5688072 = 23321359103
BaseRepresentation
bin10101101100101100001000
3101200222120100
4111230230020
52424004242
6321525400
766230205
oct25545410
911628510
105688072
113235595
121aa3860
131242030
14a80cac
1577554c
hex56cb08

5688072 has 96 divisors (see below), whose sum is σ = 17035200. Its totient is φ = 1703808.

The previous prime is 5688071. The next prime is 5688077. The reversal of 5688072 is 2708865.

5688072 is nontrivially palindromic in base 5.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5688071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55173 + ... + 55275.

It is an arithmetic number, because the mean of its divisors is an integer number (177450).

Almost surely, 25688072 is an apocalyptic number.

5688072 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5688072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8517600).

5688072 is an abundant number, since it is smaller than the sum of its proper divisors (11347128).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5688072 is a wasteful number, since it uses less digits than its factorization.

5688072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 5688072 is about 2384.9679243126. The cubic root of 5688072 is about 178.5069083784.

The spelling of 5688072 in words is "five million, six hundred eighty-eight thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 103 104 117 118 156 177 206 234 236 309 312 354 412 468 472 531 618 708 767 824 927 936 1062 1236 1339 1416 1534 1854 2124 2301 2472 2678 3068 3708 4017 4248 4602 5356 6077 6136 6903 7416 8034 9204 10712 12051 12154 13806 16068 18231 18408 24102 24308 27612 32136 36462 48204 48616 54693 55224 72924 79001 96408 109386 145848 158002 218772 237003 316004 437544 474006 632008 711009 948012 1422018 1896024 2844036 5688072